On the Asymptotics of Some Weierstrass Functions

For Weierstrass functions σ(z) and ζ(z), we present the asymptotic formulas valid outside the efficiently constructed exceptional sets of discs that are much narrower than in the known asymptotic formulas.

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Date:2015
Main Authors: Zaionts, Yu., Korenkov, M. E., Kharkevych, Yu. I., Зайонц, Ю., Коренков, Н. Е., Харкевич, Ю. И.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1968
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Zaionts, Yu.
Korenkov, M. E.
Kharkevych, Yu. I.
Зайонц, Ю.
Коренков, Н. Е.
Харкевич, Ю. И.
Зайонц, Ю.
Коренков, Н. Е.
Харкевич, Ю. И.
author_facet Zaionts, Yu.
Korenkov, M. E.
Kharkevych, Yu. I.
Зайонц, Ю.
Коренков, Н. Е.
Харкевич, Ю. И.
Зайонц, Ю.
Коренков, Н. Е.
Харкевич, Ю. И.
author_sort Zaionts, Yu.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2019-12-05T09:47:39Z
description For Weierstrass functions σ(z) and ζ(z), we present the asymptotic formulas valid outside the efficiently constructed exceptional sets of discs that are much narrower than in the known asymptotic formulas.
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spelling umjimathkievua-article-19682019-12-05T09:47:39Z On the Asymptotics of Some Weierstrass Functions Про асимптотику деяких функцій Вейєрштрасса Zaionts, Yu. Korenkov, M. E. Kharkevych, Yu. I. Зайонц, Ю. Коренков, Н. Е. Харкевич, Ю. И. Зайонц, Ю. Коренков, Н. Е. Харкевич, Ю. И. For Weierstrass functions σ(z) and ζ(z), we present the asymptotic formulas valid outside the efficiently constructed exceptional sets of discs that are much narrower than in the known asymptotic formulas. Для функций Вейерштрасса σ(z) и ζ(z) указаны асимптотические формулы правильные вне эффективно построенных исключительных множеств кругов, которые гораздо более узкие, чем в известных асимптотических формул. Institute of Mathematics, NAS of Ukraine 2015-01-25 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/1968 Ukrains’kyi Matematychnyi Zhurnal; Vol. 67 No. 1 (2015); 135–138 Український математичний журнал; Том 67 № 1 (2015); 135–138 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/1968/959 Copyright (c) 2015 Zaionts Yu.; Korenkov M. E.; Kharkevych Yu. I.
spellingShingle Zaionts, Yu.
Korenkov, M. E.
Kharkevych, Yu. I.
Зайонц, Ю.
Коренков, Н. Е.
Харкевич, Ю. И.
Зайонц, Ю.
Коренков, Н. Е.
Харкевич, Ю. И.
On the Asymptotics of Some Weierstrass Functions
title On the Asymptotics of Some Weierstrass Functions
title_alt Про асимптотику деяких функцій Вейєрштрасса
title_full On the Asymptotics of Some Weierstrass Functions
title_fullStr On the Asymptotics of Some Weierstrass Functions
title_full_unstemmed On the Asymptotics of Some Weierstrass Functions
title_short On the Asymptotics of Some Weierstrass Functions
title_sort on the asymptotics of some weierstrass functions
url https://umj.imath.kiev.ua/index.php/umj/article/view/1968
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